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Author : V.S. Varadarajan
Publisher : Springer
ISBN 13 : 3540374205
Total Pages : 531 pages
Book Rating : 4.06/5 ( download)
Download or read book Harmonic Analysis on Real Reductive Groups written by V.S. Varadarajan and published by Springer. This book was released on 2006-11-14 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ramesh Gangolli
Publisher : Springer Science & Business Media
ISBN 13 : 3642729568
Total Pages : 379 pages
Book Rating : 4.60/5 ( download)
Download or read book Harmonic Analysis of Spherical Functions on Real Reductive Groups written by Ramesh Gangolli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics. This is only to be expected, since homogeneous spaces and group representations arise naturally in diverse contexts ranging from Number theory and Geometry to Particle Physics and Polymer Chemistry. Its explosive growth sometimes makes it difficult to realize that it is actually relatively young as mathematical theories go. The early ideas in the subject (as is the case with many others) go back to Elie Cart an and Hermann Weyl who studied the compact symmetric spaces in the 1930's. However its full development did not begin until the 1950's when Gel'fand and Harish Chandra dared to dream of a theory of representations that included all semisimple Lie groups. Harish-Chandra's theory of spherical functions was essentially complete in the late 1950's, and was to prove to be the forerunner of his monumental work on harmonic analysis on reductive groups that has inspired a whole generation of mathematicians. It is the harmonic analysis of spherical functions on symmetric spaces, that is at the focus of this book. The fundamental questions of harmonic analysis on symmetric spaces involve an interplay of the geometric, analytical, and algebraic aspects of these spaces. They have therefore attracted a great deal of attention, and there have been many excellent expositions of the themes that are characteristic of this subject.
Author : W. Barker
Publisher : Springer Science & Business Media
ISBN 13 : 1461204550
Total Pages : 395 pages
Book Rating : 4.58/5 ( download)
Download or read book Harmonic Analysis on Reductive Groups written by W. Barker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Sym posium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetings was remarkably similar. The program of the Bowdoin Conference consisted of two parts. First, there were six major lecture series, each consisting of several talks addressing those topics in harmonic analysis on real and p-adic groups which were the focus of intensive research during the previous decade. These lectures began at an introductory level and advanced to the current state of research. Sec ond, there was a series of single lectures in which the speakers presented an overview of their latest research.
Author : B. Harish-Chandra
Publisher : Springer
ISBN 13 : 3540363726
Total Pages : 135 pages
Book Rating : 4.29/5 ( download)
Download or read book Harmonic Analysis on Reductive p-adic Groups written by B. Harish-Chandra and published by Springer. This book was released on 2006-11-15 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Barker
Publisher :
ISBN 13 : 9783764335144
Total Pages : pages
Book Rating : 4.49/5 ( download)
Download or read book Harmonic Analysis on Reductive Groups written by William Barker and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert S. Doran, Paul J. Sally, Jr., and Loren Spice
Publisher : American Mathematical Soc.
ISBN 13 : 0821874039
Total Pages : 294 pages
Book Rating : 4.35/5 ( download)
Download or read book Harmonic Analysis on Reductive, $p$-adic Groups written by Robert S. Doran, Paul J. Sally, Jr., and Loren Spice and published by American Mathematical Soc.. This book was released on 2011 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Barker
Publisher : Birkhäuser
ISBN 13 : 9780817635145
Total Pages : 390 pages
Book Rating : 4.49/5 ( download)
Download or read book Harmonic Analysis on Reductive Groups written by W. Barker and published by Birkhäuser. This book was released on 1991-12-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Sym posium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetings was remarkably similar. The program of the Bowdoin Conference consisted of two parts. First, there were six major lecture series, each consisting of several talks addressing those topics in harmonic analysis on real and p-adic groups which were the focus of intensive research during the previous decade. These lectures began at an introductory level and advanced to the current state of research. Sec ond, there was a series of single lectures in which the speakers presented an overview of their latest research.
Author : Nolan R. Wallach
Publisher : Academic Press
ISBN 13 : 0080874517
Total Pages : 439 pages
Book Rating : 4.17/5 ( download)
Download or read book Real Reductive Groups I written by Nolan R. Wallach and published by Academic Press. This book was released on 1988-03-01 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.
Author : Paul J. Sally (Jr.)
Publisher : American Mathematical Soc.
ISBN 13 : 0821815261
Total Pages : 364 pages
Book Rating : 4.67/5 ( download)
Download or read book Representation Theory and Harmonic Analysis on Semisimple Lie Groups written by Paul J. Sally (Jr.) and published by American Mathematical Soc.. This book was released on 1989 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together five papers that have been influential in the study of Lie groups. Though published more than 20 years ago, these papers made fundamental contributions that deserve much broader exposure. In addition, the subsequent literature that has subsumed these papers cannot replace the originality and vitality they contain. The editors have provided a brief introduction to each paper, as well as a synopsis of the major developments which have occurred in the area covered by each paper. Included here are the doctoral theses of Arthur, Osborne, and Schmid. Arthur's thesis is closely related to Trombi's paper insofar as both deal with harmonic analysis on real semisimple Lie groups, and, in particular, analysis on the Schwartz space of Harish-Chandra. Arthur's thesis is concerned with the image under the Fourier transform of the Schwartz space of a semisimple Lie group of real rank one, while Trombi's paper provides an expository account of the harmonic analysis associated to the decomposition of the Schwartz space under the regular representation. In his thesis, Osborne extends the Atiyah-Bott fixed point theorem for elliptic complexes to obtain a fixed point formula for complexes that are not elliptic. Schmid proves a generalization of the Borel-Weil theorem concerning an explicit and geometric realization of the irreducible representations of a compact, connected semisimple Lie group. Langlands's fundamental paper provides a classification of irreducible, admissible representations of real reductive Lie groups.
Author : Allan G. Silberger
Publisher : Princeton University Press
ISBN 13 : 1400871131
Total Pages : 379 pages
Book Rating : 4.31/5 ( download)
Download or read book Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23) written by Allan G. Silberger and published by Princeton University Press. This book was released on 2015-03-08 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
